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Popular >

expand ln((xy)^6)

Solution

expand

ln ((x y)^{6})

Solution

6 ln (x) + 6 ln (y)

Solution steps

ln ((x y)^{6})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln ((x y)^{6}) = 6 ln (x y)

= 6 ln (x y)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

6 ln (x y) = 6 ln (x) + 6 ln (y)

= 6 ln (x) + 6 ln (y)

Popular Examples

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- lo g_{10} (6.8 \cdot 1 0^{- 5})

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lo g_{10} (\frac{x z}{y ^{3}})

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Frequently Asked Questions (FAQ)

What is expand ln((xy)^6) ?
The solution to expand ln((xy)^6) is 6ln(x)+6ln(y)